(* Content-type: application/vnd.wolfram.mathematica *)

(*** Wolfram Notebook File ***)
(* http://www.wolfram.com/nb *)

(* CreatedBy='Mathematica 10.4' *)

(*CacheID: 234*)
(* Internal cache information:
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[       158,          7]
NotebookDataLength[     12624,        457]
NotebookOptionsPosition[      8402,        316]
NotebookOutlinePosition[     11381,        405]
CellTagsIndexPosition[     11275,        399]
WindowTitle->SISD
WindowFrame->Normal*)

(* Beginning of Notebook Content *)
Notebook[{
Cell[BoxData[GridBox[{
   {Cell["FEYN CALC SYMBOL", "PacletNameCell"], Cell[TextData[Cell[BoxData[
     ActionMenuBox[
      FrameBox[
       InterpretationBox[Cell[TextData[{
         "URL",
         StyleBox[" \[FilledDownTriangle]", "AnchorBarArrow",
          StripOnInput->False]
        }]],
        TextCell[
         Row[{"URL", 
           Style[" \[FilledDownTriangle]", "AnchorBarArrow"]}]]],
       StripOnInput->False], {"\<\"FeynCalc/ref/SISD\"\>":>
      None, "\<\"Copy Wolfram Documentation Center URL\"\>":>
      Module[{DocumentationSearch`Private`nb$}, 
       DocumentationSearch`Private`nb$ = NotebookPut[
          Notebook[{
            Cell["FeynCalc/ref/SISD"]}, Visible -> False]]; 
       SelectionMove[DocumentationSearch`Private`nb$, All, Notebook]; 
       FrontEndTokenExecute[DocumentationSearch`Private`nb$, "Copy"]; 
       NotebookClose[DocumentationSearch`Private`nb$]; Null], 
      Delimiter, "\<\"Copy web URL\"\>":>
      Module[{DocumentationSearch`Private`nb$}, 
       DocumentationSearch`Private`nb$ = NotebookPut[
          Notebook[{
            Cell[
             BoxData[
              MakeBoxes[
               Hyperlink[
               "http://reference.wolfram.com/language/FeynCalc/ref/SISD.html"]\
, StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> 
           False]]; SelectionMove[
        DocumentationSearch`Private`nb$, All, Notebook]; 
       FrontEndTokenExecute[DocumentationSearch`Private`nb$, "Copy"]; 
       NotebookClose[DocumentationSearch`Private`nb$]; 
       Null], "\<\"Go to web URL\"\>":>FrontEndExecute[{
        NotebookLocate[{
          URL[
           StringJoin[
            If[
             TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$237449], 
             "http://reference.wolfram.com/system-modeler/", 
             "http://reference.wolfram.com/language/"], "FeynCalc/ref/SISD", 
            ".html"]], None}]}]},
      Appearance->None,
      MenuAppearance->Automatic,
      MenuStyle->"URLMenu"]],
     LineSpacing->{1.4, 0}]], "AnchorBar"]}
  }]], "AnchorBarGrid",
 GridBoxOptions->{GridBoxItemSize->{"Columns" -> {
     Scaled[0.65], {
      Scaled[0.34]}}, "ColumnsIndexed" -> {}, "Rows" -> {{1.}}, 
   "RowsIndexed" -> {}}},
 CellID->1],

Cell[TextData[{
 Cell["SISD", "ObjectName"],
 Cell[BoxData[
  InterpretationBox[
   StyleBox[
    GraphicsBox[{},
     BaselinePosition->Baseline,
     ImageSize->{8, 0}],
    CacheGraphics->False],
   Spacer[8]]]],
 Cell[BoxData[""], "ObjectNameTranslation"]
}], "ObjectNameGrid"],

Cell[BoxData[GridBox[{
   {"", Cell[TextData[{
     Cell[BoxData[
      RowBox[{"SISD", "[", "p", "]"}]], "InlineFormula"],
     " \[LineSeparator]can be used as input for D-1-dimensional ",
     Cell[BoxData[
      RowBox[{
       SuperscriptBox["\[Sigma]", "\[Mu]"], 
       SubscriptBox["p", "\[Mu]"]}]], "InlineFormula"],
     " with D-dimensional Lorentz vector p and is transformed into \
PauliSigma[Momentum[p,D],D-1] by FeynCalcInternal."
    }]]}
  }]], "Usage",
 GridBoxOptions->{
 GridBoxBackground->{
  "Columns" -> {{None}}, "ColumnsIndexed" -> {}, "Rows" -> {{None}}, 
   "RowsIndexed" -> {}}},
 CellID->982511436],

Cell[CellGroupData[{

Cell[TextData[{
 Cell[BoxData[
  InterpretationBox[
   StyleBox[
    GraphicsBox[{},
     BaselinePosition->Baseline,
     ImageSize->{6, 0}],
    CacheGraphics->False],
   Spacer[6]]]],
 "Examples",
 "\[NonBreakingSpace]\[NonBreakingSpace]",
 Cell["(1)", "ExampleCount"]
}], "PrimaryExamplesSection",
 WholeCellGroupOpener->True,
 CellTags->"PrimaryExamplesSection",
 CellID->130210083],

Cell[CellGroupData[{

Cell[TextData[{
 "Basic Examples",
 "\[NonBreakingSpace]\[NonBreakingSpace]",
 Cell["(1)", "ExampleCount"]
}], "ExampleSection", "ExampleSection",
 WholeCellGroupOpener->True,
 CellID->270761384],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"SISD", "[", "p", "]"}]], "Input",
 CellTags->"GS",
 CellLabel->"In[1]:=",
 CellID->1176675883],

Cell[BoxData[
 FormBox[
  RowBox[{"\[Sigma]", "\[CenterDot]", 
   FormBox[
    FormBox["p",
     TraditionalForm],
    TraditionalForm]}], TraditionalForm]], "Output",
 ImageSize->{36, 16},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"GS",
 CellLabel->"Out[1]=",
 CellID->1971313389]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{
   RowBox[{"SISD", "[", "p", "]"}], "//", "FCI"}], "//", 
  "StandardForm"}]], "Input",
 CellTags->"GS",
 CellLabel->"In[2]:=",
 CellID->1027241244],

Cell[BoxData[
 RowBox[{"PauliSigma", "[", 
  RowBox[{
   RowBox[{"Momentum", "[", 
    RowBox[{"p", ",", "D"}], "]"}], ",", 
   RowBox[{
    RowBox[{"-", "1"}], "+", "D"}]}], "]"}]], "Output",
 ImageSize->{271, 15},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"GS",
 CellLabel->"Out[2]//StandardForm=",
 CellID->1525716750]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"SISD", "[", 
  RowBox[{"p", ",", "q", ",", "r", ",", "s"}], "]"}]], "Input",
 CellTags->"GS",
 CellLabel->"In[3]:=",
 CellID->1339265647],

Cell[BoxData[
 FormBox[
  RowBox[{
   RowBox[{"(", 
    FormBox[
     RowBox[{"\[Sigma]", "\[CenterDot]", 
      FormBox[
       FormBox["p",
        TraditionalForm],
       TraditionalForm]}],
     TraditionalForm], ")"}], ".", 
   RowBox[{"(", 
    FormBox[
     RowBox[{"\[Sigma]", "\[CenterDot]", 
      FormBox[
       FormBox["q",
        TraditionalForm],
       TraditionalForm]}],
     TraditionalForm], ")"}], ".", 
   RowBox[{"(", 
    FormBox[
     RowBox[{"\[Sigma]", "\[CenterDot]", 
      FormBox[
       FormBox["r",
        TraditionalForm],
       TraditionalForm]}],
     TraditionalForm], ")"}], ".", 
   RowBox[{"(", 
    FormBox[
     RowBox[{"\[Sigma]", "\[CenterDot]", 
      FormBox[
       FormBox["s",
        TraditionalForm],
       TraditionalForm]}],
     TraditionalForm], ")"}]}], TraditionalForm]], "Output",
 ImageSize->{189, 16},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"GS",
 CellLabel->"Out[3]=",
 CellID->274123798]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"SISD", "[", 
   RowBox[{"p", ",", "q", ",", "r", ",", "s"}], "]"}], "//", 
  "StandardForm"}]], "Input",
 CellTags->"GS",
 CellLabel->"In[4]:=",
 CellID->837744205],

Cell[BoxData[
 RowBox[{
  RowBox[{"SISD", "[", "p", "]"}], ".", 
  RowBox[{"SISD", "[", "q", "]"}], ".", 
  RowBox[{"SISD", "[", "r", "]"}], ".", 
  RowBox[{"SISD", "[", "s", "]"}]}]], "Output",
 ImageSize->{261, 15},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"GS",
 CellLabel->"Out[4]//StandardForm=",
 CellID->1426173981]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"SISD", "[", "q", "]"}], ".", 
  RowBox[{"(", 
   RowBox[{
    RowBox[{"SISD", "[", "p", "]"}], "+", "m"}], ")"}], ".", 
  RowBox[{"SISD", "[", "q", "]"}]}]], "Input",
 CellTags->"GS",
 CellLabel->"In[5]:=",
 CellID->2143558790],

Cell[BoxData[
 FormBox[
  RowBox[{
   RowBox[{"(", 
    FormBox[
     RowBox[{"\[Sigma]", "\[CenterDot]", 
      FormBox[
       FormBox["q",
        TraditionalForm],
       TraditionalForm]}],
     TraditionalForm], ")"}], ".", 
   RowBox[{"(", 
    RowBox[{"m", "+", 
     FormBox[
      RowBox[{"\[Sigma]", "\[CenterDot]", 
       FormBox[
        FormBox["p",
         TraditionalForm],
        TraditionalForm]}],
      TraditionalForm]}], ")"}], ".", 
   RowBox[{"(", 
    FormBox[
     RowBox[{"\[Sigma]", "\[CenterDot]", 
      FormBox[
       FormBox["q",
        TraditionalForm],
       TraditionalForm]}],
     TraditionalForm], ")"}]}], TraditionalForm]], "Output",
 ImageSize->{177, 16},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"GS",
 CellLabel->"Out[5]=",
 CellID->218984313]
}, Open  ]]
}, Open  ]]
}, Open  ]],

Cell[" ", "FooterCell"]
},
Saveable->False,
ScreenStyleEnvironment->"Working",
WindowSize->{725, 750},
WindowMargins->{{-10, Automatic}, {Automatic, -8}},
WindowTitle->"SISD",
TaggingRules->{
 "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> 
  GridBox[{{
      RowBox[{
        ButtonBox[
        "FeynCalc", ButtonData -> "paclet:FeynCalc/guide/FeynCalc", 
         BaseStyle -> {"Link", "DockedLinkTrail"}]}]}}, ColumnAlignments -> 
    Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> 
  None, "RootCaptions" -> "", 
  "Metadata" -> {
   "built" -> "{2020, 6, 20, 19, 10, 36.089572}", 
    "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", 
    "keywords" -> {}, "specialkeywords" -> {}, 
    "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> 
    "Feyn Calc Symbol", "language" -> "en", "paclet" -> "FeynCalc", "status" -> 
    "None", "summary" -> 
    "SISD[p] can be used as input for D-1-dimensional \\[Sigma]^\\[Mu] \
p\\[Mu] with D-dimensional Lorentz vector p and is transformed into \
PauliSigma[Momentum[p,D],D-1] by FeynCalcInternal.", "synonyms" -> {}, 
    "tabletags" -> {}, "title" -> "SISD", "titlemodifier" -> "", 
    "windowtitle" -> "SISD", "type" -> "Symbol", "uri" -> 
    "FeynCalc/ref/SISD"}, "SearchTextTranslated" -> ""},
CellContext->"Global`",
FrontEndVersion->"10.4 for Linux x86 (64-bit) (April 11, 2016)",
StyleDefinitions->Notebook[{
   Cell[
    StyleData[
    StyleDefinitions -> FrontEnd`FileName[{"Wolfram"}, "Reference.nb"]]], 
   Cell[
    StyleData["Input"], CellContext -> "Global`"], 
   Cell[
    StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, 
  FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", 
  StyleDefinitions -> "Default.nb"]
]
(* End of Notebook Content *)

(* Internal cache information *)
(*CellTagsOutline
CellTagsIndex->{
 "PrimaryExamplesSection"->{
  Cell[3773, 110, 387, 15, 31, "PrimaryExamplesSection",
   CellTags->"PrimaryExamplesSection",
   CellID->130210083]},
 "GS"->{
  Cell[4405, 139, 118, 4, 27, "Input",
   CellTags->"GS",
   CellID->1176675883],
  Cell[4526, 145, 315, 12, 37, "Output",
   CellTags->"GS",
   CellID->1971313389],
  Cell[4878, 162, 183, 7, 27, "Input",
   CellTags->"GS",
   CellID->1027241244],
  Cell[5064, 171, 355, 12, 51, "Output",
   CellTags->"GS",
   CellID->1525716750],
  Cell[5456, 188, 161, 5, 27, "Input",
   CellTags->"GS",
   CellID->1339265647],
  Cell[5620, 195, 991, 40, 37, "Output",
   CellTags->"GS",
   CellID->274123798],
  Cell[6648, 240, 199, 7, 27, "Input",
   CellTags->"GS",
   CellID->837744205],
  Cell[6850, 249, 357, 11, 51, "Output",
   CellTags->"GS",
   CellID->1426173981],
  Cell[7244, 265, 262, 9, 27, "Input",
   CellTags->"GS",
   CellID->2143558790],
  Cell[7509, 276, 827, 33, 37, "Output",
   CellTags->"GS",
   CellID->218984313]}
 }
*)
(*CellTagsIndex
CellTagsIndex->{
 {"PrimaryExamplesSection", 10295, 361},
 {"GS", 10424, 365}
 }
*)
(*NotebookFileOutline
Notebook[{
Cell[576, 21, 2257, 53, 53, "AnchorBarGrid",
 CellID->1],
Cell[2836, 76, 281, 11, 45, "ObjectNameGrid"],
Cell[3120, 89, 628, 17, 105, "Usage",
 CellID->982511436],
Cell[CellGroupData[{
Cell[3773, 110, 387, 15, 31, "PrimaryExamplesSection",
 CellTags->"PrimaryExamplesSection",
 CellID->130210083],
Cell[CellGroupData[{
Cell[4185, 129, 195, 6, 26, "ExampleSection",
 CellID->270761384],
Cell[CellGroupData[{
Cell[4405, 139, 118, 4, 27, "Input",
 CellTags->"GS",
 CellID->1176675883],
Cell[4526, 145, 315, 12, 37, "Output",
 CellTags->"GS",
 CellID->1971313389]
}, Open  ]],
Cell[CellGroupData[{
Cell[4878, 162, 183, 7, 27, "Input",
 CellTags->"GS",
 CellID->1027241244],
Cell[5064, 171, 355, 12, 51, "Output",
 CellTags->"GS",
 CellID->1525716750]
}, Open  ]],
Cell[CellGroupData[{
Cell[5456, 188, 161, 5, 27, "Input",
 CellTags->"GS",
 CellID->1339265647],
Cell[5620, 195, 991, 40, 37, "Output",
 CellTags->"GS",
 CellID->274123798]
}, Open  ]],
Cell[CellGroupData[{
Cell[6648, 240, 199, 7, 27, "Input",
 CellTags->"GS",
 CellID->837744205],
Cell[6850, 249, 357, 11, 51, "Output",
 CellTags->"GS",
 CellID->1426173981]
}, Open  ]],
Cell[CellGroupData[{
Cell[7244, 265, 262, 9, 27, "Input",
 CellTags->"GS",
 CellID->2143558790],
Cell[7509, 276, 827, 33, 37, "Output",
 CellTags->"GS",
 CellID->218984313]
}, Open  ]]
}, Open  ]]
}, Open  ]],
Cell[8375, 314, 23, 0, 41, "FooterCell"]
}
]
*)

(* End of internal cache information *)

